OP: So, this is going to fly in the face of the norm...lol Obviously you're asking this question because you're considering helping her. If so, you have to ask yourself what you get out of it and what will it cost you?
I disagree that the "amount of money is irrelevant". If you took a girl our for dinner and a movie and the end result was a happy ending, would you feel taken advantage of?
While people asking strangers for money is not the norm (except for a scam), people in desperate situations will do things they wouldn't normally do.
You met and obviously like her. For all any of us know this could turn into the love of your life. I would definitely be leery and careful in making sure that what I was putting into it was worth what I was getting out of it. I'd also look for ways to truly assess her situation. If for example she said she had no money for food, you could take her grocery shopping and if you return and find her cupboards really are bare and she's living a minimal existence (or not), you at least have more info either way.
My wife and I are not the norm and we do truly enjoy helping people that really are trying to improve. That last part is key, because we have also learned you cannot help people that will not help themselves and have gotten pretty good at quickly assessing that. If she's determined to keep digging a hole then you need to walk away, and if you decide to try to help, the quicker you can figure that out the better. Good luck.